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Fork of the E2CNN library that adds support for equivariant partial differential operators

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Steerable PDO support for the E2CNN library

Experiments | Paper | Original library

This is a fork of the e2cnn library that adds support for steerable PDOs, i.e. equivariant partial differential operators. Support for steerable PDOs has been merged into e2cnn, you should simply use the original library rather than this fork.

The main changes are a new diffops module that plays the analogous role to kernels but for PDOs, a gspace.build_diffop_basis() method (analogous to gspace.build_kernel_basis()) and the equivariant nn.R2Diffop module (a drop-in replacement for nn.R2Conv).

If you have questions specifically about Steerable PDOs and this implementation, please contact me.

Installation

The original e2cnn library can be installed with pip install e2cnn and now contains support for steerable PDOs.

If you want to reproduce our experiments, then do not install the library this way, instead see our experiments repository for instructions.

Cite

The original e2cnn library was developed as part of the paper General E(2)-Equivariant Steerable CNNs. Please cite this work if you use the library:

@inproceedings{e2cnn,
    title={{General E(2)-Equivariant Steerable CNNs}},
    author={Weiler, Maurice and Cesa, Gabriele},
    booktitle={Conference on Neural Information Processing Systems (NeurIPS)},
    year={2019},
}

For the implementation of steerable PDOs inside this library, please cite our paper:

@inproceedings{jenner2021steerable,
      title={Steerable Partial Differential Operators for Equivariant Neural Networks},
      author={Erik Jenner and Maurice Weiler},
      year={2022},
      booktitle={ICLR},
}

License

e2cnn is distributed under BSD Clear license. See LICENSE file.

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